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Finding the Third Proportional to 53,829 and 73,894

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Solution

The third proportional to 53,829 and 73,894 is: 101,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 73,894 = 73,894 : x
  2. Step 2: Convert to fraction form
    53,829/73,894 = 73,894/x
  3. Step 3: Cross multiply
    53,829x = 73,894 × 73,894
  4. Step 4: Simplify right side
    53,829x = 5,460,323,236
  5. Step 5: Solve for x
    x = 5,460,323,236/53,829
  6. Step 6: Final answer
    x = 101,438.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.